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Finding the Fourth Proportional to 42,894.84, 64,335.06 and 11,724.60

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Solution

The fourth proportional to 42,894.84, 64,335.06 and 11,724.60 is: 17,584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,894.84 : 64,335.06 = 11,724.60 : x
  2. Step 2: Convert to fraction form
    42,894.84/64,335.06 = 11,724.60/x
  3. Step 3: Cross multiply
    42,894.84x = 64,335.06 × 11,724.60
  4. Step 4: Simplify right side
    42,894.84x = 754,302,844.48
  5. Step 5: Solve for x
    x = 754,302,844.48/42,894.84
  6. Step 6: Final answer
    x = 17,584.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.